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Finding the Fourth Proportional to 235,129.86, 324,468.34 and 133,152.98

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Solution

The fourth proportional to 235,129.86, 324,468.34 and 133,152.98 is: 183,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,129.86 : 324,468.34 = 133,152.98 : x
  2. Step 2: Convert to fraction form
    235,129.86/324,468.34 = 133,152.98/x
  3. Step 3: Cross multiply
    235,129.86x = 324,468.34 × 133,152.98
  4. Step 4: Simplify right side
    235,129.86x = 43,203,926,386.65
  5. Step 5: Solve for x
    x = 43,203,926,386.65/235,129.86
  6. Step 6: Final answer
    x = 183,744.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.